396748800 has 576 divisors, whose sum is σ = 1706140800. Its totient is φ = 88473600.

The previous prime is 396748799. The next prime is 396748801. The reversal of 396748800 is 8847693.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (396748799) and next prime (396748801).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×396748800² = 314819220602880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (396748801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9676780 + ... + 9676820.

It is an arithmetic number, because the mean of its divisors is an integer number (2962050).

Almost surely, 2^396748800 is an apocalyptic number.

396748800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853070400).

396748800 is an abundant number, since it is smaller than the sum of its proper divisors (1309392000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

396748800 is a wasteful number, since it uses less digits than its factorization.

396748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 396748800 is about 19918.5541643966. The cubic root of 396748800 is about 734.8046127873.

The spelling of 396748800 in words is "three hundred ninety-six million, seven hundred forty-eight thousand, eight hundred".